How to Find Eigenvalue and Basis for Eigenspace

In this video, we take a look at the computation of eigenvalues and how to find the basis for the corresponding eigenspace.

[shallyanan]

Extremely easy to follow, thank you for the great video

[sccur]

Your channel saved my butt for studying for a final.

[mariya.nuur]

How did we get eigenspace (2/3 and 1) out of matrix (1 -2/3 0 0) ? Also the same question about identifying eigenspace of lambda = -1, how did we get eigenspace (-1 and 1) out of matrix (1 1 0 0)? Can somebody explain pls

[thomascholak]

Thank you so much, this helped me understand how to do it!

[thegaminghero]

Tysm I was pulling my hair out trying to figure it out because the videos my professor gave me literally just doesnt explain it and for some reason also switches the signs of some of the values randomly

[oktavianasadama]

whats the different between looking for eigenvector and basis for eigenspace??

[animeshdas]

why are making it so complex where you can just put v=[v1, v2] and construct two equations then easily solving it to get the basis

[JimmyRojas-iqwg]

You talk way too much, I just need the example